Answer:
f(x) = x⁵ + 3x³ - 2 I think, if its incorrect I apologize
Step-by-step explanation:
WILL GIVE BRAINLEST ANSWER IF ANSWERED IN THE NEXT 24 HRS Express the complex number in trigonometric form. -5i
Answer:
[tex]z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)[/tex]
Step-by-step explanation:
If a complex number is z=a+ib, then the trigonometric form of complex number is
[tex]z=r(\cos \theta +i\sin \theta)[/tex]
where, [tex]r=\sqrt{a^2+b^2}[/tex] and [tex]\tan \theta=\dfrac{b}{a}[/tex], [tex]\theta[/tex] is called the argument of z, [tex]0\leq \theta\leq 2\pi[/tex].
The given complex number is -5i.
It can be rewritten as
[tex]z=0-5i[/tex]
Here, a=0 and b=-5. [tex]\theta[/tex] lies in 4th quadrant.
[tex]r=\sqrt{0^2+(-5)^2}=5[/tex]
[tex]\tan \theta=\dfrac{-5}{0}[/tex]
[tex]\tan \theta=\infty[/tex]
[tex]\theta=2\pi -\dfrac{\pi}{2}[/tex] [tex][\because \text{In 4th quadrant }\theta=2\pi-\theta][/tex]
[tex]\theta=\dfrac{3\pi}{2}[/tex]
So, the trigonometric form is
[tex]z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)[/tex]
Answer:
in degrees the answer is 5 (cos 270 + i sin 270)
in radians the answer is 5 (cos (3pi/2) + i sin (3pi/2))
Step-by-step explanation:
On an uphill hike Ted climbs at 3mph. Going back down, he runs at 5mph. If it takes him forty minutes longer to climb up than run down, then what is the length of the hike? if possible, I would like a clear equation.
Answer:
He hiked 10 miles.
Step-by-step explanation:
rate x time = distance
The distance up and the distance down are equal
3 mi/1 hr x (h hours + 2/3 hr) = 5 mi/1 hr x h hours
3h + 2 = 5h
2 = 2h
h = 1 hour
3mi/hr x 1 2/3 hr = 5 miles
5 mi/hr x 1 hr = 5 miles
What the answer now question correct answer fast
v = 17 is your answer as an intergers or as a decimal rounded to the nearest tenth
an appropriate metric unit for the mass of an eyelash.
Answer: Mass of a typical house cat:
Automatically eliminate B and D since they are not metric unit for mass
So, that leaves us with A and C. And since a cat is not huge nor weighs that much, the most reasonable one would be to measure it in grams.
Correct answer: C
Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize the denominator if applicable. Find tan B when a
Answer:
Unknown side = 28tan B = 7/24Step-by-step explanation:
The question is incomplete. Here is the complete question.
Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize the denominator if applicable. Find tan B when a = 96 and c = 100.
Pythagoras theorem states that the square of the hypotenuse side of a right angled triangle is equal to the sum of the square of its other two sides. Mathematically c² = a²+b² where c is the hypotenuse and a,b are the other two sides.
From the question, we are given a = 96 and c = 100, to get the unknown side 'b', we will substitute the given values into the formula above;
c² = a²+b²
100² = 96² +b²
b² = 100² - 96²
b² = 10,000 - 9216
b² = 784
b = √784
b = 28
Hence, the unknown length is 28.
To get tanB, we will use the SOH, CAH, TOA trigonometry identity
According to TOA, tan B = opposite/adjacent
tan B = b/a (note that side b is the opposite in this case since the angle we are considering is B)
Given b = 28 and a = 96
tan B = 28/96
tan B = 4*7/4*24
tan B = 7/24
Angle G is a circumscribed angle of circle E. Circle E is shown. Line segments F E and D E are radii. A line is drawn to connect points F and D. Tangents F G and D G intersect at point G outside of the circle. Angles E B D and F D E have measures of x degrees. What is the measure of angle G, in terms of x? x° + x° x° + 90° 180° – x° 180° – 2x°
Answer:
X+X
Step-by-step explanation:
did it on edg
Answer:
x° + x°
Step-by-step explanation:
Edge 2020
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a dinner conversation with a sound intensity of 10–7?
Answer:
The loudness of the dinner conversation is 40 dB
Step-by-step explanation:
Loudness in dB = 10[tex]Log_{10}[/tex] [tex](\frac{I}{I_{o} })[/tex]
where [tex]I_{0}[/tex] is the least intense sound a human can hear = [tex]10^{-12}[/tex] W/m^2
For a dinner conversation with sound intensity of [tex]I[/tex] = [tex]10^{-7}[/tex] W/m^2
Loudness = 10[tex]Log_{10}[/tex] [tex](\frac{10^{-7} }{10^{-12} })[/tex] = 10[tex]Log_{10}[/tex] [tex]( 10^{4} )[/tex] = 40 dB
Answer:
50 Db
Step-by-step explanation:
The slope of a line is 2, and the y-intercept is 0. What is the equation of the line written in slope-intercept form?
O y = x + 2
Oy= 2x
Oy= 2
Answer:
y =2x
Step-by-step explanation:
Slope intercept form is
y= mx+b where m is the slope and b is the y intercept
y = 2x+0
y = 2x
Answer:
Step-by-step explanation:
e
Find the value of
x in the triangle shown below.
Answer:
69.7° (corrected to 3 significant figures)
Step-by-step explanation:
Use the cosine formula to solve for x.
[tex]cosA=\frac{(b^2+c^2-a^2)}{2bc} \\cos x =(3.5^2+ 3.5^2 -4^2)}/[2(3.5)(3.5)]cos x =0.346939\\x=69.7[/tex]
Find the angle measures given the figure is a rhombus. m=
Answer:
74°
Step-by-step explanation:
A rhombus is a quadrilateral that has its opposite sides to be parallel to be each other. This means that the two interior opposite angles are equal to each other. Since the sum of the angles of a quadrilateral is 360°.
According to the triangle, since one of the acute angle is 32°, then the acute angle opposite to this angle will also be 32°.
The remaining angle of the rhombus will be calculated as thus;
= 360° - (32°+32°)
= 360° - 64°
= 296°
This means the other two opposite angles will have a sum total of 296°. Individual obtuse angle will be 296°/2 i.e 148°
This means that each obtuse angles of the rhombus will be 148°.
To get the unknown angle m°, we can see that the diagonal cuts the two obtuse angles equally, hence one of the obtuse angles will also be divided equally to get the unknown angle m°.
m° = 148°/2
m° = 74°
Hence the angle measure if m(1) is 74°
Can someone answer all of them or at least one please. Thank you :)
1. Solve the equation below for the variable (y):
2x + 5y = 20
A. y = 20 - 2x / 5
B. y = 18x / 5
C. y = 5 (20 - 2x)
d. y = 2x - 20 / 5
2. Substitute r = 3 and h = 5 into the formula V = πr^2h then evaluate
A. 235.5
B. 47.1
C. 141.3
3. In a formula, any operation we can do to a number can also be done to a variable.
True or False?
Answer:
1) A. y= (20 - 2x) /5
2) C. 141.3
3) True ( Your answers are here.)
Answer:
1. is A 2. is C 3. is I believe True
Step-by-step explanation:
1.
2x + 5y = 20
-2x -2x
5y = 20 - 2x
/5 /5
Answer: y = 20 - 2x /5
2.
V = πr^2h
π=3.14 r=3 h=5
3.14*3^2*5
1.413*10^2 which = 141.3
3.
I am not completely sure but I think it is True
Hope this helps
rotate the triangle below: A(5,3) B(8,10) C(11,3) angle of rotation is 180 centre origin direction is anti- clock wise
Answer:
see explanation
Step-by-step explanation:
Under a rotation ( clockwise or anticlockwise ) about the origin of 180°
a point (x, y ) → (- y, - x ), thus
A(5, 3 ) → A'(- 3, - 5 )
B(8, 10 ) → B'(- 10, - 8 )
C(11, 3 ) → C'(- 3, - 11 )
(ANSWER ASAP) The table represents the multiplication of two binomials. What is the value of A?
-3x
-3x2
-5x
-5x2
By observing the table it can be concluded that the value of A must be equal to 3x × (-x)
So, the value will be -3x^2
Answer:
B on EDG
Step-by-step explanation:
On the coordinate plane below, Point P, is located at (2,-3) and point Q is located at (-4,4). Find the distance between points, P and Q
Answer:
[tex]d = \sqrt{85}[/tex] or d ≈ 9.22
Step-by-step explanation:
Distance formula:
[tex]d = \sqrt{(2 - (-4))^2 + (-3- 4)^2} \\d = \sqrt{36+ 49}\\d = \sqrt{85} \\[/tex]
Determine the sum of the first ten terms of the geometric series -1 + 2 - 4 + 8 + ...
Answer:
-1+2-4+8-10+12-14+16-18+20
=
-47+68
= +21
hope youlike this
stay at home stay safe
keep rocking
8x + 5y=-22
-3x - 5y = 2
Answer:
(-4, 2).
Step-by-step explanation:
8x + 5y=-22
-3x - 5y = 2 Adding the 2 equations:
5x = -20
x = -4.
Substitute x = -4 in the first equation:
8(-4) + 5y = -22
5y = -22 + 32
5y = 10
y = 2.
Answer:
[tex]x=-4,\:\\y=2[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}8x+5y=-22\\ -3x-5y=2\end{bmatrix}\\\mathrm{Multiply\:}8x+5y=-22\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:24x+15y=-66\\\mathrm{Multiply\:}-3x-5y=2\mathrm{\:by\:}8\:\mathrm{:}\:\quad \:-24x-40y=16\\\\\begin{bmatrix}24x+15y=-66\\ -24x-40y=16\end{bmatrix}\\\\-24x-40y=16\\+\\\underline{24x+15y=-66}\\-25y=-50\\\begin{bmatrix}24x+15y=-66\\ -25y=-50\end{bmatrix}\\-25y=-50\\\mathrm{Divide\:both\:sides\:by\:}-25\\\frac{-25y}{-25}=\frac{-50}{-25}\\y=2\\[/tex]
[tex]\mathrm{For\:}24x+15y=-66\mathrm{\:plug\:in\:}y=2\\24x+15\times\:2=-66\\24x+30=-66\\24x+30-30=-66-30\\24x=-96\\\frac{24x}{24}=\frac{-96}{24}\\x=-4\\\\\\x=-4,\:y=2[/tex]
4) Solve the problem for the compound events.
A bank has a special vault for valuable items. It has 3 dials that operate the combination. The
first dial has the numbers from 1 to 100, the second and third each have the 26 letters of the al-
phabet. In order to open the vault, the bank manager must correctly set each dial. How many
possible combinations are there for this vault?
Answer:
i think its 67600
Step-by-step explanation:
100*26=2600
2600*26=67600
if x to the power of 2 = 10 what is the value of x?
Answer:
x² = 10
x = ±√10 (Take the square root of both sides)
18x + 18 = 17 What is the variable x and how do you get that answer?
Answer:
x = - 1/18
Step-by-step explanation:
Move all terms not containing x to the right side of the equation
Divide each term by 18 and simplify
The result can be shown in multiple forms
x = -1/18
Decimal form= -0.05
Answer: x=-1/18
Step-by-step explanation:
18x+18=17
you subtract 18 from both sides
18x=-1
then you divide by 18 on both sides
x=-1/18
The Benton Youth Soccer Team has 20 players on the team, including reserves. Of these, three are goalies. Today, the team is having a contest to see which goalie can block the most number of penalty kicks. For each penalty kick, a goalie stands in the net while the rest of the team (including other goalies) takes a shot on goal, one at a time, attempting to place the ball in the net. How many penalty kicks must be taken to ensure that everyone has gone up against each of the goalies?
Answer:
57
Step-by-step explanation:
Subtract one player from the total number, because one has to block.
19
Multiply this by the number of goalies there are.
19*3=57
There will be 57 kicks.
what is the value of 24% of 800?
Question of mathematics
Answer:
[tex] \huge \boxed{192}[/tex]Step-by-step explanation:
[tex]24\% \: of \: 800[/tex]
By definition of p% = p/100
[tex] = \frac{24}{100} \times 800[/tex]
Reduce the numbers with Greatest Common Factor 100
[tex] = 24 \times 8[/tex]
Multiply the numbers
[tex] = 192[/tex]
Hope I helped!
Best regards!!
PLEASE HELP
A hire purchase agreement offers gym equipment, with a marked price
$897, for $87 deposit and $46.80 a month payable over 2 years.
Calculate :
a) the total hire-purchase price
b) the amount of
amount of interest charged
Answer: a) $1,210.20 b) $313.20
Step-by-step explanation:
a) $87 down + $46.80(24 months) = $1,210.20 total paid
b) $1,210.20 - $897.00 = $313.20 interest paid
Which represents the solution to 7x > 21 or 6x - 9 < 21?
Answer:
1) The correct option is the third line
2) The correct option is the third line please see attached graph
Step-by-step explanation:
For the system of inequalities,
7·x > 21 or 6·x -9 < 21 we have;
7·x > 21
x > 21/3 = 3
x > 3
Also we have for 6·x -9 < 21 we have;
6·x -9 < 21
6·x < 21 + 9
6·x < 30
x < 30/6 = 5
x < 5
The representation of the region x > 3 and the region x < 5 on the number line consists of indicating points 3 and 5 with circles not filled to represent less than < and not less than or equal to ≤ and shading the potion of the number line in between the two points
Which gives the correct option as the third line which has an open circle at point 3 and 5
b) To graph the inequality v + 4 > 2 and 8·v - 20 ≤ 36
For the inequality v + 4 > 2, we have;
v > 2 - 4
v > - 2
For the inequality 8·v - 20 ≤ 36, we have;
8·v - 20 ≤ 36
8·v ≤ 36 + 20
8·v ≤ 56
v ≤ 56/8
v ≤ 7
The region representing v > -2 or v ≤ 7 on the number line consists of indicating points -2 with a circle (not filled) to represent less than < and point 7 with a filled circle to represent less than or equal to ≤ and shading the potion of the number line in between the two points
Which gives the correct option is the third line which has a closed circle at point -2 and an open circle at point 7
Please answer this in two minutes
Answer:
Hey there!
S would be 2 times 7, or 14.
Hope this helps :)
Answer:
14
Step-by-step explanation:
This is a 30-60-90 triangle, so the sides corresponding are x, 2x, and xsqrt3. the side, s, that we want is the 2x, and the x is 7. So, s is 14.
The graph of f(x)=4x^3-13x+9x+2 is shown below. How many roots of f(x) are rational numbers? Quick Please!!!!
Answer:
All three are rational numbers.
Step-by-step explanation:
I used Desmos (a graphing calculator online) and the roots were all able to be written with fractions.
Which phrase matches the expression p+7? A. 7 minus p B. the difference of 7 and p C. the quotient of p and 7 D. the sum of p and 7
Answer:
the sum of p amd 7
hopefully this helped :3
Answer:
D
Step-by-step explanation:
Since addings answer is a sum
p+7
D
We have 9 balls, numbered 1 through 9, and 27 bins. How many different ways are there to distribute these 9 balls among the 27 bins? Assume the bins are distinguishable (e.g., numbered 1 through 27).
Answer:
7625597484987 ways
Step-by-step explanation:
Given the following :
Number of ball(k) = 9
Number of bins (n) = 27
How many different ways are there to distribute these 9 balls among the 27 bins.
Here, the balls have different labels (1 to 9)
The bins are also distinguishable, therefore each ball can go into any of the 27 distinct bins.
Therefore, the different ways are there to distribute these 9 balls among the 27 bins equals = n^k
27^9 = 7625597484987 ways.
I need a. Correct answer I’ll mark brainliest
Answer:
7^11 / 4^11
Step-by-step explanation:
( 7/4) ^ 11
We know that ( a/b) ^c = a^c / b^c
7^11 / 4^11
Answer: B. [tex](\frac{7}{4})^{11} = \frac{7^{11}}{4^{11}}[/tex]
Step-by-step explanation:
There is exponent rule that states [tex](\frac{a}{b})^{x} = \frac{a^x}{b^x}[/tex]
So we can apply this rule to this problem.
[tex](\frac{7}{4})^{11} = \frac{7^{11}}{4^{11}}[/tex]
Trigonometry.....Help plzzzz
Answer:
17.3 = AC
Step-by-step explanation:
Since this is a right angle, we can use trig functions
tan B = opp/ adj
Tan 68 = AC / 7
7 tan 68 = AC
17.32560797 = AC
To 1 decimal place
17.3 = AC
Answer:
AC = 17. 3 cmStep-by-step explanation:
To find AC we use tan
tan ∅ = opposite / adjacent
From the question
AB is the adjacent
AC is the opposite
So we have
tan 68 = AC / AB
AC = AB tan 68
AC = 7 tan 68
AC = 17.32
AC = 17. 3 cm to one decimal place
Hope this helps you
A regular octagon is inscribed inside a circle. The perimeter of the octagon is units. A: What is the measure of a side of the octagon? B: What is the measure of a central angle of the octagon? C: What is the approximate measure of the apothem of the octagon (to the nearest hundredth of a unit)? D: Using your answer to part C, what is the approximate area of the octagon (to the nearest whole )?
Answer:
Explained below.
Step-by-step explanation:
Consider the diagram of a regular octagon is inscribed inside a circle.
Suppose the perimeter if the octagon is 8a.
(a)
Compute the measure of a side of the octagon as follows:
[tex]\text{Perimeter}=8\times side\\\\8\times side=8a\\\\side=a[/tex]
Thus, the side of the octagon is a units.
(b)
The sum of all angles of around a point is 360°.
Consider the point P on the octagon.
The sum of all the angle surrounding P will be 360°.
There are a total of 8 angle surrounding the point P.
Then the measure of central angle is:
[tex]\text{Central Angle}=\frac{360^{o}}{8}=45^{o}[/tex]
Thus, the measure of central angle is 45°.
(c)
The line segment from the center of an octagon to the midpoint of a side, perpendicular to said side, is known as the apothem.
Consider the diagram.
In the diagram the line segment PC is an apothem, that is perpendicular to the AB.
The measure of segment AC = a/2 and the measure of segment PA is r (radius of the circle).
Compute he measure of PC as follows:
[tex]PA^{2}=PC^{2}+AC^{2}\\\\PC^{2}=PA^{2}-AC^{2}\\\\PC=\sqrt{PA^{2}-AC^{2}}[/tex]
[tex]=\sqrt{r^{2}-\frac{a^{2}}{4}}[/tex]
Thus, the measure of the apothem of the octagon is[tex]\sqrt{r^{2}-\frac{a^{2}}{4}}[/tex].
(d)
The area of an octagon is:
[tex]\text{Area}=2(1+\sqrt{2})a^{2}[/tex]